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Finding the Fourth Proportional to 6,491.66, 9,746.14 and 4,390.35

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Solution

The fourth proportional to 6,491.66, 9,746.14 and 4,390.35 is: 6,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.66 : 9,746.14 = 4,390.35 : x
  2. Step 2: Convert to fraction form
    6,491.66/9,746.14 = 4,390.35/x
  3. Step 3: Cross multiply
    6,491.66x = 9,746.14 × 4,390.35
  4. Step 4: Simplify right side
    6,491.66x = 42,788,946.87
  5. Step 5: Solve for x
    x = 42,788,946.87/6,491.66
  6. Step 6: Final answer
    x = 6,591.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.